Basic Math Examples

3 \frac{3}{4}

$3 \frac{3}{4}$

Step 1

A mixed number is an addition of its whole and fractional parts.

3 + \frac{3}{4}

$3 + \frac{3}{4}$

Step 2

Add

3

$3$ and

\frac{3}{4}

$\frac{3}{4}$ .

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Step 2.1

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

3 \cdot \frac{4}{4} + \frac{3}{4}

$3 \cdot \frac{4}{4} + \frac{3}{4}$

Step 2.2

Combine

3

$3$ and

\frac{4}{4}

$\frac{4}{4}$ .

\frac{3 \cdot 4}{4} + \frac{3}{4}

$\frac{3 \cdot 4}{4} + \frac{3}{4}$

Step 2.3

Combine the numerators over the common denominator.

\frac{3 \cdot 4 + 3}{4}

$\frac{3 \cdot 4 + 3}{4}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

3

$3$ by

4

$4$ .

\frac{12 + 3}{4}

$\frac{12 + 3}{4}$

Step 2.4.2

Add

12

$12$ and

3

$3$ .

\frac{15}{4}

$\frac{15}{4}$

\frac{15}{4}

$\frac{15}{4}$

\frac{15}{4}

$\frac{15}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{15}{4}

$\frac{15}{4}$

Decimal Form:

3.75

$3.75$

Mixed Number Form:

3 \frac{3}{4}

$3 \frac{3}{4}$